If the refractive indexes of the mica plate in the direction of the slow axis and the fast axis are as follows: m, =1.5977, n1= 1.5936, Find the thickness of this plate needed to make the optical path difference between the two rays passing through the plate equal to a quarter of the wavelength if light of its wavelength was passed through 1 = 5890 nm. %3D

If the refractive indexes of the mica plate in the direction of the slow axis and the fast axis are as follows: m, =1.5977, n1= 1.5936, Find the thickness of this plate needed to make the optical path difference between the two rays passing through the plate equal to a quarter of the wavelength if light of its wavelength was passed through 1 = 5890 nm. %3D

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 117AP: An amateur astronomer wants to build a telescope with a diffraction limit that will allow him to see...

See similar textbooks

Similar questions

A telescope can be used to enlarge the diameter of a laser beam and limit diffraction spreading. The laser beam is sent through the telescope in opposite the normal direction and can then be projected onto a satellite or the moon. (a) If this is done with the Mount Wilson telescope, producing a 2.54-m-diameter beam of 633-nm light, what is the minimum angular spread of the beam? (b) Neglecting atmospheric effects, what is the size of the spot this beam would make on the moon, assuming a lunar distance of 3.84108 m?
A beam of white light is incident on the surface of a diamond at an angle θa. (Figure 1) Since the index of refraction depends on the light's wavelength, the different colors that comprise white light will spread out as they pass through the diamond. For example, the indices of refraction in diamond are nred=2.410for red light and nblue=2.450blue=2.450 for blue light. Thus, blue light and red light are refracted at different angles inside the diamond, as shown in the picture. The surrounding air has nair=1.000 Note that the angles in the figure are not to scale. Now consider θc, the angle at which the blue refracted ray hits the bottom surface of the diamond. If θc is larger than the critical angle θcrit, the light will not be refracted out into the air, but instead it will be totally internally reflected back into the diamond. Find θcrit.
Which of the following statements are (or could be) true? Choose all that apply. A rock at a temperature of 49 K will not emit EM waves. The index of refraction of a newly discovered transparent material is -1.1. In a vacuum, x-rays move slower than UV rays. Total internal reflection will not occur if the critical angle is greater than the incident angle. A light ray was reflected. The incident angle was 65° and the reflected angle was 65º. If do, then d₁ = 0.
JUST NEED HELP WITH D-J! A large container holds two layers of liquid: a 10.0 cm thick layer of vegetable oil (ρ = 920 kg/m3 , n = 1.47) above a 20.0 cm thick layer of water (ρ = 1000 kg/m3 , n = 1.33). There is air (ρ = 1.20 kg/m3 , n = 1.0003) above the oil layer. Nia holds a red laser which emits 632.8 nm light to the right and down, so that the ray makes an angle of 50.0° relative to a line normal to the oil layer. a) Draw a diagram showing the layers of liquid and the path of a light ray. At each interface between media, there should be a reflected ray and a refracted ray unless there is total internal reflection at that interface (in which case write N/A for the angle of refraction). Label the angles of each ray (incident, reflected, and refracted) for each interface. b) What is the angle of reflection at the air→ oil interface? ________________________ c) What is the angle of refraction at the air→ oil interface? ________________________ d) What is the angle of incidence at the…
Q.1 A light ray is reflected from a mirror with an angle 60.0° to the normal. What was the angle of incidence? Q.2 Light passes through a transparent substance at a speed of 2 ×108 m/s. What is the index of refraction of the substance? Q.3 The wavelength of a monochromatic light source is measured to be 5.5 × 10-8 m in a diffraction experiment. (a) What is the frequency? (b) What is the energy of a photon of this light?
K A light ray with a wavelength of 589 nanometers (produced by a sodium lamp) traveling through air makes an angle of = to find the angle of refraction, V2 sin 0₁ V₁ y incidence of 55° on a smooth, flat slab of dense flint glass. Use Snell's Law, sin 02 where the index of refraction is 1.66. ... The angle of refraction is approximately degrees. (Type an integer or decimal rounded to two decimal places as needed.)
As a ray of light enters a piece of glass plate, some of it is reflected and some refracted. If the incidence is 18o , what is a) angle of reflection and b) the angle of refraction? The index of refraction of glass is 1.52.Cite some practical uses of refraction and reflection of light.Explain the Inverse square law for light intensity and Beer’s Law.
f the critical angle for total inlernal reieion, a medium to wáccuam is 30°, then velocilų of light in medium is. (@) 6x i08 m/s 6) 3x (9³ m /s ☺ 2x 10° m s () 1:5x 108 m/s. from
A beam of light (wavelength of 600 nm) is traveling in air and strikes transparent material. The incident beam makes an angle of 40° with the normal, and the refracted beam make an angle of 20⁰ with the normal. What is the wavelength of light in the transparent material? Jhay O 102.6 nm O 200 nm 350 nm O 705.6 nm O 319.3 nm
A ray of light traveling water is incident on an interface with a flat piece of glass. The wavelength of the light in the water (nwater = 1.333) is 726 nm and its wavelength in the glass is 544 nm. If the ray in water makes an angle of 56° with respect to the normal to the interface, what angle does the refracted ray in the glass make with respect to the normal? A. 25.4° В. 38.4° С. 43.8° D. 54.2°
A ray of white light traveling through air enters a triangular prism that has an index of refraction of 1.313 for the red end of the spectrum and 1.349 for the violet end and an apex angle of 71.8 degrees. If the ray has an angle of incidence of 60.3degrees with respect to the normal of the interface boundary, what is the angular separation between the red and violet ends of the spectrum within the prism? Measure this in degrees to 3 decimal places.
Q. 9. A beam of Parallel rays is incident at an angle of 30° with normal on a plane parallel film of thickness 4.0 x 10-5 cm and u= 1.5. Show that the refracted light whose wavelength is 7.539 x 10-5 cm will be strengthened by reinforcement.